Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

Time bar (total: 13.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample732.0ms (5.4%)

Results
481.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-mult: 157.0ms (73.1% of total)
ival-add: 47.0ms (21.9% of total)
const: 7.0ms (3.3% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess95.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
433×fma-define
207×fma-neg
115×unsub-neg
81×associate-*r*
71×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035369
188317
2216317
3571317
41024317
51659317
61740317
71748317
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z)))
(neg.f64 (+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z)))
(neg.f64 (+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z))))
(+.f64 y (*.f64 (*.f64 x z) z))
(+.f64 z (*.f64 (*.f64 y x) x))
(+.f64 x (*.f64 (*.f64 z y) y))
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z))
(+.f64 (*.f64 z (*.f64 y z)) (neg.f64 x))
(-.f64 (*.f64 z (*.f64 y z)) x)
(-.f64 (*.f64 y (*.f64 z z)) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z))
(+.f64 x (*.f64 z (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 z (*.f64 y z)))
(-.f64 x (*.f64 y (*.f64 z z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z)))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z)))
(+.f64 x (*.f64 z (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 z (*.f64 y z)))
(-.f64 x (*.f64 y (*.f64 z z)))
(neg.f64 (+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z)))
(+.f64 (*.f64 z (*.f64 y z)) (neg.f64 x))
(-.f64 (*.f64 z (*.f64 y z)) x)
(-.f64 (*.f64 y (*.f64 z z)) x)
(neg.f64 (+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z))))
(neg.f64 (+.f64 x (*.f64 (neg.f64 z) (*.f64 y (neg.f64 z)))))
(neg.f64 (fma.f64 z (*.f64 y z) x))
(neg.f64 (fma.f64 y (*.f64 z z) x))
(+.f64 y (*.f64 (*.f64 x z) z))
(+.f64 y (*.f64 x (*.f64 z z)))
(fma.f64 x (*.f64 z z) y)
(+.f64 z (*.f64 (*.f64 y x) x))
(+.f64 z (*.f64 x (*.f64 x y)))
(fma.f64 x (*.f64 x y) z)
(+.f64 x (*.f64 (*.f64 z y) y))
(+.f64 x (*.f64 z (*.f64 y y)))
(fma.f64 y (*.f64 y z) x)
Symmetry

(abs z)

explain126.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x (*.f64 (*.f64 y z) z))
00-0-(*.f64 y z)
00-0-z
00-0-y
00-0-(*.f64 (*.f64 y z) z)
Results
104.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (72.7% of total)
ival-add: 3.0ms (27.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 22 to 9 computations (59.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 z (*.f64 y z) x)
▶94.0%
(fma.f64 y (*.f64 z z) x)
▶99.8%
(+.f64 x (*.f64 (*.f64 y z) z))
Compiler

Compiled 28 to 16 computations (42.9% saved)

localize105.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(fma.f64 y (*.f64 z z) x)
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(*.f64 (*.f64 y z) z)
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) z))
✓accuracy99.8%
(fma.f64 z (*.f64 y z) x)
✓accuracy99.7%
(*.f64 (*.f64 y z) z)
✓accuracy94.0%
(fma.f64 y (*.f64 z z) x)
Rules
2×fma-undefine
2×*-commutative
2×fma-define
1×associate-*r*
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016178
122178
224178
325178
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
x
(*.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
(fma.f64 y (*.f64 z z) x)
y
(*.f64 z z)
z
x
(fma.f64 z (*.f64 y z) x)
z
(*.f64 y z)
y
x
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
(fma.f64 y (*.f64 z z) x)
x
(*.f64 (*.f64 y z) z)
(*.f64 y (*.f64 z z))
(*.f64 y z)
y
z
(fma.f64 y (*.f64 z z) x)
y
(*.f64 z z)
z
x
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
z
(*.f64 y z)
y
x
Results
86.0ms256×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.9% of total)
ival-fma: 6.0ms (46.9% of total)
ival-add: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series267.0ms (2%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (fma.f64 y (*.f64 z z) x)>
#<alt (*.f64 (*.f64 y z) z)>
#<alt (fma.f64 z (*.f64 y z) x)>
#<alt (+.f64 x (*.f64 (*.f64 y z) z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z z)>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
z
@0
(* y z)
0.0ms
y
@0
(+ (* y (* z z)) x)
0.0ms
x
@0
(+ (* y (* z z)) x)
0.0ms
y
@-inf
(+ (* y (* z z)) x)
0.0ms
z
@inf
(+ (* y (* z z)) x)

rewrite437.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
939×prod-diff
727×log1p-expm1-u
727×expm1-log1p-u
396×log-prod
252×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016114
1202114
22073114
Stop Event
1×node limit
Counts
6 → 191
Calls
Call 1
Inputs
(fma.f64 y (*.f64 z z) x)
(*.f64 (*.f64 y z) z)
(fma.f64 z (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) z))
(*.f64 y z)
(*.f64 z z)
Outputs
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
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(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
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(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
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(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
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(fma.f64 (*.f64 y z) z x)
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z) x)
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(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))

simplify304.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
399×times-frac
357×distribute-lft-in
305×distribute-rgt-in
252×*-commutative
231×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02849656
15809566
217129506
352519470
Stop Event
1×node limit
Counts
335 → 133
Calls
Call 1
Inputs
x
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y z) z x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y z)) x)
(fma.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y z)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
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(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 z #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))

eval32.0ms (0.2%)

Compiler

Compiled 1869 to 1041 computations (44.3% saved)

prune71.0ms (0.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1496155
Fresh000
Picked033
Done000
Total1499158
Accuracy
100.0%
Counts
158 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 z (*.f64 y z) x)
✓94.0%
(fma.f64 y (*.f64 z z) x)
▶51.0%
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
93.7%
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
▶99.5%
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
✓99.8%
(+.f64 x (*.f64 (*.f64 y z) z))
▶47.9%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
▶88.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
▶49.6%
x
Compiler

Compiled 154 to 108 computations (29.9% saved)

localize518.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff6336
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓cost-diff6400
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
✓accuracy96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
✓accuracy95.2%
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
✓accuracy94.3%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓accuracy90.2%
(cbrt.f64 (*.f64 y z))
Rules
1466×unswap-sqr
750×associate-/r*
742×times-frac
437×fma-define
297×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027384
154356
299347
3284347
4930347
51657347
62293347
72728347
82835347
92902347
103180347
113783347
123841347
133852347
143853347
153853347
166638347
176997347
187165347
197385347
207510347
217717347
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
x
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 3 binary64)
x
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
y
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
x
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
#s(literal 1 binary64)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
y
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
x
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
y
z
#s(literal 2 binary64)
Outputs
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
(*.f64 z (*.f64 y z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(cbrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 3 binary64)
x
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 y z))
y
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 y z))
y
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(*.f64 z (*.f64 y z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(sqrt.f64 y)
y
z
#s(literal 2 binary64)
Results
129.0ms131×0valid
65.0ms125×0invalid
Compiler

Compiled 115 to 54 computations (53% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-pow: 116.0ms (75.2% of total)
ival-mult: 18.0ms (11.7% of total)
ival-add: 8.0ms (5.2% of total)
ival-div: 6.0ms (3.9% of total)
ival-sqrt: 2.0ms (1.3% of total)
const: 2.0ms (1.3% of total)
ival-cbrt: 2.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.2%)

Counts
7 → 113
Calls
Call 1
Inputs
#<alt (cbrt.f64 (*.f64 y z))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)>
#<alt (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(/ (* y (pow z 2)) x)
2.0ms
y
@0
(cbrt (* y z))
2.0ms
y
@-inf
(cbrt (* y z))
2.0ms
y
@inf
(cbrt (* y z))
2.0ms
z
@inf
(cbrt (* y z))

rewrite158.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
808×prod-diff
805×log1p-expm1-u
574×expm1-log1p-u
143×associate-*r*
128×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025158
1346154
24113154
Stop Event
1×node limit
Counts
7 → 212
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 y z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 y) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
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(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 z (*.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 z (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify396.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
664×cancel-sign-sub-inv
412×associate-*r*
375×distribute-lft-neg-in
366×distribute-rgt-neg-in
345×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04168413
19228185
230717787
Stop Event
1×node limit
Counts
325 → 225
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
x
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 y z)
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(*.f64 y z)
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 y) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y z) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y z)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sqrt.f64 y)) x))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 x)))
(pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64)))) x))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(+.f64 x (*.f64 (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) (*.f64 x (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))) (-.f64 x (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(pow.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(*.f64 y z)
(*.f64 z y)
(*.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y z)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 z))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 y z))
(*.f64 (*.f64 y z) z)
(*.f64 (cbrt.f64 (*.f64 y z)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 z (*.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 z (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y z)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y z)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y z)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))
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(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y z)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 y (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 z (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (*.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y z)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 z (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) (sqrt.f64 y))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 z (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (*.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z (sqrt.f64 y)))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 y (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))

eval166.0ms (1.2%)

Compiler

Compiled 3583 to 2012 computations (43.8% saved)

prune6.7s (49.7%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New2366242
Fresh101
Picked145
Done033
Total23813251
Accuracy
100.0%
Counts
251 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 z (*.f64 y z) x)
✓94.0%
(fma.f64 y (*.f64 z z) x)
▶28.9%
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
✓99.5%
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
▶99.8%
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
54.9%
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))
✓99.8%
(+.f64 x (*.f64 (*.f64 y z) z))
▶82.0%
(*.f64 y (fma.f64 z z (/.f64 x y)))
✓47.9%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓88.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
▶82.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))))
▶82.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
✓49.6%
x
Compiler

Compiled 227 to 146 computations (35.7% saved)

localize720.0ms (5.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
✓cost-diff6400
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
✓cost-diff6592
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
✓cost-diff12928
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
✓accuracy96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
✓accuracy91.5%
(*.f64 y (fma.f64 z z (/.f64 x y)))
✓accuracy90.5%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))
✓accuracy90.5%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
Rules
1602×cube-prod
694×cube-div
610×fma-define
508×swap-sqr
407×unpow3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034631
175482
2172470
3511470
41860470
53013470
63173470
73451470
83922470
94403470
105118470
115940470
126427470
136625470
146812470
156924470
167081470
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
x
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 y (fma.f64 z z (/.f64 x y)))
y
(fma.f64 z z (/.f64 x y))
z
(/.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 y x)
y
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
y
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
y
#s(literal 2 binary64)
Outputs
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
(+.f64 x (*.f64 z (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
(*.f64 z (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 z))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 y z)
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 y (fma.f64 z z (/.f64 x y)))
(+.f64 x (*.f64 z (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
y
(fma.f64 z z (/.f64 x y))
z
(/.f64 x y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))))
(+.f64 x (*.f64 z (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 y x)
y
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 z (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 z)))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
y
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 z (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 z))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
y
#s(literal 2 binary64)
Results
61.0ms131×0valid
143.0ms125×0invalid
Compiler

Compiled 162 to 68 computations (58% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-pow: 104.0ms (62.6% of total)
ival-mult: 29.0ms (17.5% of total)
ival-div: 13.0ms (7.8% of total)
ival-add: 8.0ms (4.8% of total)
ival-fma: 5.0ms (3% of total)
ival-sqrt: 4.0ms (2.4% of total)
const: 3.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.2%)

Counts
8 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))>
#<alt (*.f64 y (fma.f64 z z (/.f64 x y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))>
#<alt (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)>
#<alt (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))>
#<alt (+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))>
Outputs
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
#<alt (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)>
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Calls

63 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(* y (+ (* z z) (/ x y)))
1.0ms
z
@-inf
(* (* y (sqrt z)) (sqrt z))
1.0ms
z
@-inf
(* (* (* y (sqrt z)) (sqrt z)) z)
1.0ms
x
@inf
(* y (+ (* z z) (/ x y)))
1.0ms
y
@0
(* y (+ (* z z) (/ x y)))

rewrite247.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1106×log1p-expm1-u
230×associate-*r*
203×expm1-log1p-u
198×add-exp-log
196×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032223
1506209
26279209
Stop Event
1×node limit
Counts
8 → 203
Calls
Call 1
Inputs
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
Outputs
(-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1 binary64)) (neg.f64 x))
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (*.f64 z y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 z y) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 z y) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 z y) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 z y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 1 binary64)))
(fma.f64 z (*.f64 z y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))

simplify164.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
481×distribute-lft-neg-in
463×distribute-rgt-neg-in
400×fma-neg
344×distribute-lft-in
327×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041513452
192012855
2329812099
Stop Event
1×node limit
Counts
455 → 215
Calls
Call 1
Inputs
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
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(*.f64 y (pow.f64 z #s(literal 2 binary64)))
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(*.f64 y (pow.f64 z #s(literal 2 binary64)))
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(*.f64 y (pow.f64 z #s(literal 2 binary64)))
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(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
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(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 z (*.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 (*.f64 z y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z)
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (*.f64 z (sqrt.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 z y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))) (/.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z y) x))
(*.f64 (fma.f64 z (*.f64 z y) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 z y) x)))
(*.f64 (hypot.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 x)) (hypot.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))) (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (*.f64 z y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 z y) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 z y) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 z y) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 z y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 1 binary64)))
(fma.f64 z (*.f64 z y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
Outputs
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (-.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) (-.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))) (-.f64 x (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 x (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))) (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (-.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) (-.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))) (-.f64 x (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 x (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (-.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) (-.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (-.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) (-.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))) (-.f64 x (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 x (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (-.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) (-.f64 (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))) (-.f64 x (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 x (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x) (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))) (-.f64 x (*.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 x (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 1 binary64))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (hypot.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 2 binary64)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (exp.f64 (fma.f64 z (*.f64 z y) x)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 z y) x))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 z y) x) #s(literal 3 binary64)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 z y) x)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z z (/.f64 x y)))))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 z y) x)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (fma.f64 z (*.f64 z y) x)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 1 binary64)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 z y) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 y (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z)) x)
(fma.f64 (*.f64 z y) z x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)

eval40.0ms (0.3%)

Compiler

Compiled 2921 to 1536 computations (47.4% saved)

prune37.0ms (0.3%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New2123215
Fresh101
Picked145
Done167
Total21513228
Accuracy
100.0%
Counts
228 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 z (*.f64 y z) x)
✓94.0%
(fma.f64 y (*.f64 z z) x)
✓28.9%
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
▶98.4%
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
✓99.8%
(+.f64 x (*.f64 (*.f64 y z) z))
▶52.6%
(*.f64 (*.f64 z y) z)
▶49.4%
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
✓82.0%
(*.f64 y (fma.f64 z z (/.f64 x y)))
✓47.9%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓88.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
✓82.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))))
✓82.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
✓49.6%
x
Compiler

Compiled 135 to 91 computations (32.6% saved)

localize168.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
✓cost-diff12864
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
✓accuracy99.7%
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
✓accuracy99.2%
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
✓accuracy85.6%
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
✓accuracy73.8%
(cbrt.f64 (fma.f64 z (*.f64 z y) x))
Rules
7×*-commutative
5×associate-*l*
4×associate-*r*
3×fma-define
1×fma-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022232
133232
245232
349232
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
(sqrt.f64 z)
z
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
y
(pow.f64 z #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
(cbrt.f64 (fma.f64 z (*.f64 z y) x))
(fma.f64 z (*.f64 z y) x)
z
(*.f64 z y)
y
x
#s(literal 3 binary64)
Outputs
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
(sqrt.f64 z)
z
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
y
(pow.f64 z #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 (*.f64 z y) z)
(*.f64 z (*.f64 z y))
(*.f64 y (*.f64 z z))
(*.f64 z y)
z
y
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
(cbrt.f64 (fma.f64 z (*.f64 z y) x))
(cbrt.f64 (fma.f64 y (*.f64 z z) x))
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
z
(*.f64 z y)
y
x
#s(literal 3 binary64)
Results
138.0ms256×0valid
Compiler

Compiled 64 to 22 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-pow: 99.0ms (85.5% of total)
ival-mult: 9.0ms (7.8% of total)
ival-fma: 3.0ms (2.6% of total)
ival-sqrt: 2.0ms (1.7% of total)
ival-cbrt: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.2%)

Counts
5 → 124
Calls
Call 1
Inputs
#<alt (cbrt.f64 (fma.f64 z (*.f64 z y) x))>
#<alt (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))>
#<alt (*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))>
#<alt (sqrt.f64 z)>
Outputs
#<alt (cbrt.f64 x)>
#<alt (+.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))))>
#<alt (+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))))))>
#<alt (*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 13 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))))))))>
#<alt (*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 25 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 13 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (cbrt.f64 x)>
#<alt (+.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (cbrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (+.f64 (cbrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64)))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (pow.f64 z #s(literal 4 binary64)))))))))>
#<alt (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64)))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 10 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))))))))))>
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 23 binary64)) (pow.f64 z #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 10 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (/.f64 y (pow.f64 z #s(literal 10 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 10 binary64)) (pow.f64 z #s(literal 10 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1/9 binary64)) x)))>
#<alt (+.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 z #s(literal 14 binary64)))) #s(literal 1/9 binary64)) x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1/9 binary64))))))>
#<alt (+.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1/9 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (*.f64 #s(literal 1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (*.f64 #s(literal -1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 z #s(literal 14 binary64)))) #s(literal 1/9 binary64))))))))>
#<alt (cbrt.f64 x)>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 23 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 x) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

33 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(cbrt (+ (* z (* z y)) x))
3.0ms
x
@-inf
(cbrt (+ (* z (* z y)) x))
3.0ms
y
@-inf
(cbrt (+ (* z (* z y)) x))
2.0ms
y
@inf
(cbrt (+ (* z (* z y)) x))
2.0ms
x
@inf
(cbrt (+ (* z (* z y)) x))

rewrite115.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
825×log1p-expm1-u
825×expm1-log1p-u
524×log-prod
264×prod-diff
198×pow-to-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021117
1234104
2251598
Stop Event
1×node limit
Counts
5 → 172
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 z (*.f64 z y) x))
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
(sqrt.f64 z)
Outputs
(+.f64 #s(literal 0 binary64) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(*.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1/3 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1/3 binary64))) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1/3 binary64))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 3/2 binary64))) y)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 3/2 binary64))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 3/2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 3/2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 3/2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 3/2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 z) (log.f64 y)))
(exp.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3/2 binary64) (log.f64 z) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/4 binary64)))) #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64))) (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (*.f64 z y) z x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 z y)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 y)) (sqrt.f64 z)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) x)
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 z y)) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) x)
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/4 binary64))) (*.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y))) x)
(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z y)) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)) x)
(fma.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)
(fma.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 y)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (cbrt.f64 y)) x)
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/4 binary64)))) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/4 binary64))) x)
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) z) (sqrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/4 binary64))) (pow.f64 z #s(literal 3/4 binary64)) x)
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z))) (cbrt.f64 (exp.f64 (sqrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 z)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))

simplify379.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
612×associate-*r*
543×times-frac
540×associate-*l*
483×*-commutative
374×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074725769815219
1185025769814509
2636325769814479
Stop Event
1×node limit
Counts
296 → 309
Calls
Call 1
Inputs
(cbrt.f64 x)
(+.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))))
(+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
(cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 13 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))))))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 25 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 13 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(cbrt.f64 x)
(+.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (cbrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (cbrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 z #s(literal 6 binary64)))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (pow.f64 z #s(literal 4 binary64)))))))))
(cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 z)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
Outputs
(cbrt.f64 x)
(+.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 x))
(+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))))
(+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -1/9 binary64)))) (cbrt.f64 x))
(+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
(+.f64 (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -5/27 binary64)))) (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/3 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -5/27 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/9 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 y #s(literal 1/3 binary64)))) (cbrt.f64 x))
(cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))))))
(*.f64 z (fma.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (/.f64 y z))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 13 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))))))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 13 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))))))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 13 binary64))))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 25 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 13 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))))))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 25 binary64))))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -5/27 binary64))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 13 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))))))))
(*.f64 z (+.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -5/27 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 25 binary64)))))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 13 binary64))))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 y #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64)))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 4 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 z (neg.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1/9 binary64) (cbrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -5/27 binary64)))) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (pow.f64 z #s(literal 3 binary64))) (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 z (neg.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -5/27 binary64) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64)))))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))))))
(cbrt.f64 x)
(+.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)))))
(+.f64 (cbrt.f64 x) (*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(+.f64 (cbrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (cbrt.f64 x) (*.f64 y (fma.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)))))))
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(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 z))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z))) (cbrt.f64 (exp.f64 (sqrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 (sqrt.f64 z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(log.f64 (exp.f64 (sqrt.f64 z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (log.f64 (sqrt.f64 z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 z)) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 z))) #s(literal 3 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)

eval407.0ms (3%)

Compiler

Compiled 6916 to 5037 computations (27.2% saved)

prune80.0ms (0.6%)

Pruning

14 alts after pruning (1 fresh and 13 done)

PrunedKeptTotal
New3081309
Fresh000
Picked033
Done01010
Total30814322
Accuracy
100.0%
Counts
322 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/4 binary64))) (pow.f64 z #s(literal 3/4 binary64)) x)
✓99.8%
(fma.f64 z (*.f64 y z) x)
✓94.0%
(fma.f64 y (*.f64 z z) x)
✓28.9%
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
✓98.4%
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
✓99.8%
(+.f64 x (*.f64 (*.f64 y z) z))
✓52.6%
(*.f64 (*.f64 z y) z)
✓49.4%
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
✓82.0%
(*.f64 y (fma.f64 z z (/.f64 x y)))
✓47.9%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓88.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
✓82.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))))
✓82.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
✓49.6%
x
Compiler

Compiled 315 to 185 computations (41.3% saved)

regimes422.0ms (3.1%)

Counts
19 → 1
Calls
Call 1
Inputs
x
(*.f64 (*.f64 z y) z)
(+.f64 x (*.f64 (*.f64 y z) z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(fma.f64 y (*.f64 z z) x)
(fma.f64 z (*.f64 y z) x)
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
(+.f64 x (*.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z y) x)) #s(literal 3 binary64))
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/4 binary64))) (pow.f64 z #s(literal 3/4 binary64)) x)
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
Calls

5 calls:

248.0ms
(*.f64 (*.f64 y z) z)
156.0ms
x
7.0ms
z
5.0ms
y
4.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 x (*.f64 (*.f64 y z) z))
99.8%1(*.f64 (*.f64 y z) z)
Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
x
(*.f64 (*.f64 z y) z)
Outputs
x
(*.f64 (*.f64 z y) z)
Calls

3 calls:

6.0ms
x
4.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
71.6%7x
66.4%5y
84.4%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
z
0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
49.6%1y
49.6%1x
49.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5.952088075373814e-6
0.0023295684692707687
Results
6.0ms128×0valid
Compiler

Compiled 128 to 91 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (76.1% of total)
ival-add: 1.0ms (38.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×*-commutative
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02073
12473
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
(if (<=.f64 z #s(literal 5718490662849961/36893488147419103232 binary64)) x (*.f64 (*.f64 z y) z))
x
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 z (*.f64 y z)))
(if (<=.f64 z #s(literal 5718490662849961/36893488147419103232 binary64)) x (*.f64 (*.f64 z y) z))
(if (<=.f64 z #s(literal 5718490662849961/36893488147419103232 binary64)) x (*.f64 z (*.f64 y z)))
x

soundness476.0ms (3.5%)

Rules
1106×log1p-expm1-u
808×prod-diff
805×log1p-expm1-u
574×expm1-log1p-u
433×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035369
188317
2216317
3571317
41024317
51659317
61740317
71748317
032223
1506209
26279209
025158
1346154
24113154
Stop Event
1×fuel
1×node limit
1×node limit
1×saturated
Compiler

Compiled 153 to 60 computations (60.8% saved)

preprocess24.0ms (0.2%)

Remove

(abs z)

Compiler

Compiled 122 to 66 computations (45.9% saved)

end0.0ms (0%)

Profiling

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